449927899200 has 1512 divisors, whose sum is σ = 1852793554248. Its totient is φ = 102850560000.

The previous prime is 449927899199. The next prime is 449927899207. The reversal of 449927899200 is 2998729944.

449927899200 is a `hidden beast` number, since 449 + 9 + 27 + 89 + 92 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 420899917824 + 29027981376 = 648768^2 + 170376^2 .

It is a super-2 number, since 2×449927899200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449927899207) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7375867170 + ... + 7375867230.

Almost surely, 2^449927899200 is an apocalyptic number.

449927899200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449927899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926396777124).

449927899200 is an abundant number, since it is smaller than the sum of its proper divisors (1402865655048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

449927899200 is a wasteful number, since it uses less digits than its factorization.

449927899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 449927899200 in words is "four hundred forty-nine billion, nine hundred twenty-seven million, eight hundred ninety-nine thousand, two hundred".